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100998113 is a prime number
BaseRepresentation
bin1100000010100…
…01101111100001
321001001020100212
412001101233201
5201323414423
614004423505
72334320066
oct601215741
9231036325
10100998113
1152013417
12299a7b95
1317c02bc8
14d5b0c6d
158d00578
hex6051be1

100998113 has 2 divisors, whose sum is σ = 100998114. Its totient is φ = 100998112.

The previous prime is 100998109. The next prime is 100998119. The reversal of 100998113 is 311899001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90022144 + 10975969 = 9488^2 + 3313^2 .

It is a cyclic number.

It is not a de Polignac number, because 100998113 - 22 = 100998109 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100998113.

It is not a weakly prime, because it can be changed into another prime (100998119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50499056 + 50499057.

It is an arithmetic number, because the mean of its divisors is an integer number (50499057).

Almost surely, 2100998113 is an apocalyptic number.

It is an amenable number.

100998113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100998113 is an equidigital number, since it uses as much as digits as its factorization.

100998113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 32.

The square root of 100998113 is about 10049.7817389235. The cubic root of 100998113 is about 465.6980505059.

The spelling of 100998113 in words is "one hundred million, nine hundred ninety-eight thousand, one hundred thirteen".